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Simplifying 5(5s + 7) = 5(4s + -4) Reorder the terms: 5(7 + 5s) = 5(4s + -4) (7 * 5 + 5s * 5) = 5(4s + -4) (35 + 25s) = 5(4s + -4) Reorder the terms: 35 + 25s = 5(-4 + 4s) 35 + 25s = (-4 * 5 + 4s * 5) 35 + 25s = (-20 + 20s) Solving 35 + 25s = -20 + 20s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-20s' to each side of the equation. 35 + 25s + -20s = -20 + 20s + -20s Combine like terms: 25s + -20s = 5s 35 + 5s = -20 + 20s + -20s Combine like terms: 20s + -20s = 0 35 + 5s = -20 + 0 35 + 5s = -20 Add '-35' to each side of the equation. 35 + -35 + 5s = -20 + -35 Combine like terms: 35 + -35 = 0 0 + 5s = -20 + -35 5s = -20 + -35 Combine like terms: -20 + -35 = -55 5s = -55 Divide each side by '5'. s = -11 Simplifying s = -11
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